Use your calculator to solve the equation. Input your answer rounded off to two decimal places. 1.23x - 2.13(x + 3.24) = 2.16x + 3.25 Answer: N age gout) 270
Use your calculator to solve the equation. Input your answer rounded off to two decimal places. 1.23x - 2.13(x + 3.24) = 2.16x + 3.25 Answer: N age gout) 270
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![### Solving Linear Equations with a Calculator
#### Instructions:
Use your calculator to solve the given equation. Round your answer to two decimal places.
#### Given Equation:
\[ 1.23x - 2.13(x + 3.24) = 2.16x + 3.25 \]
#### Solution:
1. **Distribute the constants within the parentheses:**
\[ 1.23x - 2.13x - 2.13 \times 3.24 = 2.16x + 3.25 \]
2. **Calculate the product:**
\[ 2.13 \times 3.24 = 6.9012 \]
\[ 1.23x - 2.13x - 6.9012 = 2.16x + 3.25 \]
3. **Combine like terms:**
\[ -0.9x - 6.9012 = 2.16x + 3.25 \]
4. **Isolate the variable on one side:**
\[ -6.9012 - 3.25 = 2.16x + 0.9x \]
\[ -10.1512 = 3.06x \]
5. **Solve for \( x \):**
\[ x = \frac{-10.1512}{3.06} \]
\[ x \approx -3.32 \]
### Answer:
\[ \boxed{-3.32} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcbdbdb0e-ffa7-4a7f-a16d-cbd5f72e5119%2Fe05304bc-d01e-4885-9035-b49fb3cf7a69%2Fcnslyma_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving Linear Equations with a Calculator
#### Instructions:
Use your calculator to solve the given equation. Round your answer to two decimal places.
#### Given Equation:
\[ 1.23x - 2.13(x + 3.24) = 2.16x + 3.25 \]
#### Solution:
1. **Distribute the constants within the parentheses:**
\[ 1.23x - 2.13x - 2.13 \times 3.24 = 2.16x + 3.25 \]
2. **Calculate the product:**
\[ 2.13 \times 3.24 = 6.9012 \]
\[ 1.23x - 2.13x - 6.9012 = 2.16x + 3.25 \]
3. **Combine like terms:**
\[ -0.9x - 6.9012 = 2.16x + 3.25 \]
4. **Isolate the variable on one side:**
\[ -6.9012 - 3.25 = 2.16x + 0.9x \]
\[ -10.1512 = 3.06x \]
5. **Solve for \( x \):**
\[ x = \frac{-10.1512}{3.06} \]
\[ x \approx -3.32 \]
### Answer:
\[ \boxed{-3.32} \]
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